1251264257 has 2 divisors, whose sum is σ = 1251264258. Its totient is φ = 1251264256.

The previous prime is 1251264251. The next prime is 1251264307. The reversal of 1251264257 is 7524621521.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 629809216 + 621455041 = 25096^2 + 24929^2 .

It is a cyclic number.

It is not a de Polignac number, because 1251264257 - 2⁴ = 1251264241 is a prime.

It is not a weakly prime, because it can be changed into another prime (1251264251) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 625632128 + 625632129.

It is an arithmetic number, because the mean of its divisors is an integer number (625632129).

Almost surely, 2^1251264257 is an apocalyptic number.

It is an amenable number.

1251264257 is a deficient number, since it is larger than the sum of its proper divisors (1).

1251264257 is an equidigital number, since it uses as much as digits as its factorization.

1251264257 is an evil number, because the sum of its binary digits is even.

The product of its digits is 33600, while the sum is 35.

The square root of 1251264257 is about 35373.2138347649. The cubic root of 1251264257 is about 1077.5803905331.

Adding to 1251264257 its reverse (7524621521), we get a palindrome (8775885778).

It can be divided in two parts, 1251264 and 257, that added together give a palindrome (1251521).

The spelling of 1251264257 in words is "one billion, two hundred fifty-one million, two hundred sixty-four thousand, two hundred fifty-seven".